Search a number
-
+
21352615336 = 23134131715797
BaseRepresentation
bin10011111000101101…
…110000110110101000
32001010002201020200001
4103320231300312220
5322212232142321
613450444352344
71354065143563
oct237055606650
961102636601
1021352615336
119067aa3a38
12417ab456b4
1320239a5540
141067bc14da
1584e8a0c91
hex4f8b70da8

21352615336 has 64 divisors (see below), whose sum is σ = 44309598480. Its totient is φ = 9583749120.

The previous prime is 21352615309. The next prime is 21352615343. The reversal of 21352615336 is 63351625312.

It can be written as a sum of positive squares in 8 ways, for example, as 499522500 + 20853092836 = 22350^2 + 144406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21352615295 and 21352615304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343790 + ... + 1359586.

Almost surely, 221352615336 is an apocalyptic number.

21352615336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21352615336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154799240).

21352615336 is an abundant number, since it is smaller than the sum of its proper divisors (22956983144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21352615336 is a wasteful number, since it uses less digits than its factorization.

21352615336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16174 (or 16170 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

The spelling of 21352615336 in words is "twenty-one billion, three hundred fifty-two million, six hundred fifteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 317 328 533 634 1066 1268 2132 2536 4121 4264 8242 12997 15797 16484 25994 31594 32968 51988 63188 103976 126376 168961 205361 337922 410722 647677 675844 821444 1295354 1351688 1642888 2590708 5007649 5181416 8419801 10015298 16839602 20030596 33679204 40061192 65099437 67358408 130198874 205313609 260397748 410627218 520795496 821254436 1642508872 2669076917 5338153834 10676307668 21352615336